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₱ⱤØVɆ ⱤØØ₮ 3+ ⱤØØ₮ 5 ł₴ łⱤⱤ₳₮łØ₦₳Ⱡ
Answers
Answer:
hey mate
Step-by-step explanation:
Let as assume on contrary that
√3 + √5
is a rational number.
Then there exists co - prime integers p and q such that
⇒ √3
is a rational number .
But this contradicts the fact that
√3
is irrational.
So, our assumption is wrong.
Hence,
√3 + √5
is irrational.
hope this helps you..
❥︎Let √3+√5 be a rational number. A rational number can be written in the form of p/q where p,q are integers. p,q are integers then (p²+2q²)/2pq is a rational number.
❥︎Therefore, √3+√5 is an irrational number
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